[J, x ^ 2-3x-1 = 0, find the value of algebraic formula 1 / x ^ 2-2x-1 If possible, it can make me understand better

[J, x ^ 2-3x-1 = 0, find the value of algebraic formula 1 / x ^ 2-2x-1 If possible, it can make me understand better

∵x²-3x-1=0
∴x-3-1/x=0
x-1/x=3
∵x²-2x-1
=x-2-1/x
=x-1/x-2
=3-2
=1
∴1/(x²-2x-1)=1/1=1